Question

9, 10, 22, 69, 280...? who comes next​

Answer 1

6th term = 5th x 5 + 5 = 280 x 5 + 5 = 1405

Answer 2

Concept:

We first recall the concept of number series to solve this series.

Number series is a sequence of  letters, numbers or both arranged in a specific way that each term follows a rule.

Given:

The number series is 9, 10, 22, 69, 280....

To find:

The next term of the series.

Solution:

The terms of the series follows a rule that

   9 × 1 + 1 = 10

10 × 2 + 2 = 22

22 × 3 + 3 = 69

69 × 4 + 4 = 280

For each term we get the answer by multiplying the first number with the numbers starting with 1 and adding the same to the multiplication and then increasing that number for each term.

The next term is 280 × 5 + 5 = 1400 + 5

                                                = 1405

Hence, The next term of the series is 1405.